Guys, do you continue to date a girl who you think is out of your league?

She agreed to go on a date with you and it was really fun but you still feel she is out of your league, would you continue to pursue her and arrange another date or back off because you think you don't stand a chance?

I may be shy, but if she goes on a date with me and enjoyed herself, she'd be my number one priority. It's hard enough for shy guys to get girls to notice them, why would you run away from one when she finally does notice you?